
Generate the graph structure of \(\)  as specified above.

Simulate \(n\)  observations from our model (REF ).

Estimate the cluster partition \(\hat{G}\) . For computational convenience, we apply the FORCE algorithm [1]} when \(d=400\)  and the COD algorithm [2]} when \(d=1000\) .

Construct the test statistic \(\tilde{W}_{t,k}\)  defined in Section REF . The regularization parameters \(\lambda \)  and \(\lambda ^{\prime }\)  are chosen by 5-fold cross validation.

Find the FDR cutoff (REF ) at level \(\alpha \) , where we consider three cases \(\alpha =0.05, 0.1, 0.2\) .

